2
The position of a particle as a function of time is given by r
= (3t2 − 2t)i − t3 days, where r is in meters and t in seconds.
Determine: (a) its speed at t = 2 s; (b) its acceleration at 4 s;
(

A. The speed of the waves will remain unchanged if the mass is tripled without stretching the wire.

B. The speed of the waves will be halved if the wire is replaced with an identical one, except twice as long. This is because the waves will have to travel twice the distance in the same amount of time.

C. The speed of the waves will remain unchanged if the wire is replaced with one of the same lengths, but two times as heavy.

D. The speed of the waves will be halved if the wire is stretched to thrice its original length. This is because the waves will have to travel thrice the distance in the same amount of time.

E. The speed of the waves will be halved if the mass is increased by a factor of 18.0 and the wire is stretched to double its original length. This is because the waves will have to travel twice the distance in the same amount of time. The speed of the waves will thus be V/2.

For more questions like Waves speed click the link below:

https://brainly.com/question/11453444

#SPJ4

The puck's angular velocity on the shorter string would be 160 rpm.

The conservation of angular momentum states that the product of the moment of inertia and the angular velocity is conserved as long as there are no external torques acting on the system. Therefore, we can use the following equation to solve this problem:

I₁ × ω₁ = I₂ × ω₂

where I₁ and I₂ are the moments of inertia of the puck on the longer and shorter strings, respectively, and ω₁ and ω₂ are the corresponding angular velocities in radians per second.

To solve for the angular velocity on the shorter string in revolutions per minute, we need to convert the angular velocity from radians per second to revolutions per minute. Since there are 2π radians in one revolution and 60 seconds in one minute, we can use the following conversion factor:

1 radian per second = (1/2π) revolutions per minute

Now, let's find the moments of inertia of the puck on the longer and shorter strings. The moment of inertia of a point mass rotating about an axis perpendicular to its motion is given by:

I = mr²

where m is the mass of the puck and r is the distance from the axis of rotation to the mass. On the longer string, the distance from the axis of rotation to the center of mass of the puck is 50 cm, so the moment of inertia is:

I1 = m(0.5)² = 0.25m

On the shorter string, the distance from the axis of rotation to the center of mass of the puck is 25 cm, so the moment of inertia is:

I2 = m(0.25)² = 0.0625m

Now we can plug these values into the conservation of angular momentum equation:

I₁ × ω₁ = I₂ × ω₂

0.25m × (40 rpm) × (2π/60) = 0.0625m × ω₂ × (2π/60)

Simplifying and solving for ω₂ in rpm:

ω₂ = (0.25/0.0625) × 40 = 160 rpm

So the puck's angular velocity on the shorter string is 160 rpm.

To know more about angular

https://brainly.com/question/2207653

#SPJ4

The force of friction acting on him is 122 N. The correct answer is option C

Friction is a force that opposes the motion of a static or a moving object.

Given that Barry slides across an icy pond. The coefficient of kinetic friction between his shoes and the ice is 0.15. If his mass is 83 kg

The given parameters are;

The normal reaction N on the body = mg

N = 83 x 9.8

N = 813.4 N

The Frictional force formula is  \(F_{r}\) = μN

\(F_{r}\) = 0.15 x 813.4

\(F_{r}\) = 122.01 N

Therefore, the force of friction acting on him is 122 N approximately.

Learn more about Friction here: https://brainly.com/question/24338873

#SPJ1

If h equals 50 km/sec/mpc, then a galaxy with a radial velocity of 50,000 km/sec will have a distance of about 1 mpc is false.

The formula used to calculate the distance to a galaxy based on its radial velocity is given by Hubble's Law: v = H0 × d

where v is the radial velocity of the galaxy, H0 is the Hubble constant, and d is the distance to the galaxy.

In this case, the radial velocity is given as 50,000 km/sec, and if we assume the value of the Hubble constant (H0) to be 50 km/sec/Mpc, we can rearrange the equation to solve for the distance:

d = v / H0 = 50,000 km/sec / 50 km/sec/Mpc = 1,000 Mpc

Therefore, a galaxy with a radial velocity of 50,000 km/sec would have a distance of 1,000 Mpc, not 1 Mpc. Hence, the statement is False.

To learn more about radial velocity

https://brainly.com/question/29569575

#SPJ11

The momentum of an object is the product of its mass and velocity. If the object is moving with a certain velocity and an external force is applied on it then there is a change in the momentum of the object.

The formula for calculating impulse is FΔt, where F is the force and Δt is the time for which the force acts on the object. The impulse acting on the object is equal to the change in momentum of the object.

The time for which the force acts on the object is Δt = 3.0 s. Therefore, the magnitude of the change in momentum of the object is 54 kg m/s. The impulse acting on the object is also 54 N s.

To know more about object visit:

https://brainly.com/question/14964361

#SPJ11

The most comprehensive variety of oscilloscope software for applications-specific debugging, compliance, and debugging is provided by Keysight.

To Learn more About binary counter circuit refer To:

https://brainly.com/question/29649160

#SPJ4

Venn diagram B is correct. A Venn diagram is a type of graph that uses circles to depict connections between objects or fixed groups of entities.

A Venn diagram is a diagram that uses circles to depict relationships between objects or finite groups of objects. Circles that overlap share characteristics, whereas circles that do not overlap do not.

A Venn diagram with two intersecting circles. the circle on the left is labeled transverse waves with entries light, can travel through a vacuum, vibrating string and medium motion is perpendicular.

The circle on the right is labeled longitudinal waves with entries medium motion is parallel, has regions of high and low density, sound and travel faster in a denser medium.

The overlapping region has entries, created by a disturbance, has speed, and travels through solids.

Hence Venn diagram B is correct

To learn more about the Venn Diagram refer to the link;

https://brainly.com/question/1703814

Answer: hey

Explanation:

Reaction distance._ is the distance traveled from the time your brain tells your foot to move from the accelerator until your foot is actually pushing the brake pedal. The correct answer is b)

Reaction distance refers to the distance traveled from the moment your brain receives a stimulus or perceives a need to take action, to the moment your muscles actually respond to that stimulus. In the given scenario, the brain receives the signal to move the foot from the accelerator to the brake pedal.When driving, various factors can affect the reaction distance, such as alertness, attentiveness, and the speed of the vehicle. It takes a certain amount of time for the brain to process the information, send the signal to the muscles, and for the muscles to respond accordingly.

Braking distance, on the other hand, refers to the distance traveled by the vehicle from the moment the brakes are applied until it comes to a complete stop. It includes the reaction distance, but also takes into account other factors like the braking efficiency, road conditions, and the vehicle's deceleration. Perception distance refers to the distance covered while a driver recognizes a potential hazard and becomes aware of the need to take action. It is the time taken to process visual cues and mentally process the situation. Total stopping distance is the sum of the reaction distance and the braking distance, representing the entire distance covered by the vehicle from the moment the driver perceives the need to stop until the vehicle comes to a complete halt.

Learn more about Reaction distance here:

https://brainly.com/question/32305208

#SPJ11

Important support for general relativity came from studies of the precession of the orbit of Mercury

A route that an object in space follows around another is known as an orbit. A satellite is a thing that orbits the earth. An Earth- or moon-like natural satellite is one possibility. Moons are satellites that orbit many planets. A man-made satellite is also possible, such as the International Space Station.

Albert Einstein created the gravitational theory known as general relativity between 1907 and 1915. According to general relativity theory, the apparent gravitational pull between masses is caused by the bending of spacetime caused by those masses.

Refer to more about General Relativity here

brainly.com/question/18036706

#SPJ4

The ball's initial speed decreases as it moves upward from the vertical spring launcher. At its maximum height, the ball has zero speed and begins to fall back down. Since the block is sliding at a constant speed with negligible friction, the position of the launcher relative to the ground remains unchanged.

Since the block is sliding at a constant speed across a horizontal surface with negligible friction, it means the block is moving at a steady pace without being slowed down by the surface. Meanwhile, the ball is launched vertically upward from the launcher.
When the ball reaches its maximum height, it will momentarily have zero vertical speed before starting to descend due to gravity. However, during its upward and downward journey, the ball maintains the same horizontal speed as the block, since there is negligible friction between the block and the surface.
As a result, the position of the ball relative to the launcher will remain the same horizontally when it reaches its maximum height. The ball will be vertically above the launcher at the maximum height, maintaining the same horizontal position throughout its motion.

To know more about gravity Visit:

https://brainly.com/question/31321801

#SPJ11

Answer:

the answer is B!!!! just took the topic test

Explanation:

b

Answer:

B. most commonly found in sand or quartz.

Explanation:

Got 100% on EDGE

Explanation:

the answerer is visible

Genetic material is known to absorb UV light. Given what we know, we can confirm that genetic material is not known to absorb light originating from an infrared or microwave radio source.

Genetic material is the hereditary substance in the cell. It carries all information specific to an organism. It is known as DNA (deoxyribonucleic acid) or RNA (ribonucleic acid)

UV light is electromagnetic radiation, and the primary source of UV light that we are exposed to is the sun.

Therefore, given that the only form of light listed that genetic material is known to absorb is that of Ultraviolet or UV light, we can confirm that the answer to the question proposed is infrared and microwave radio light.

To learn more about UV light visit:

brainly.com/question/13695751

Answer:

The two moons of Mars are Phobos and Deimos. They are irregular in shape. Both were discovered by American astronomer Asaph Hall in August 1877 and are named after the Greek mythological twin characters Phobos (fear) and Deimos (panic) who accompanied their father Ares into battle, SO they were irregular in shape

Explanation:

Answer:

A

Explanation:

The initial velocity of the baseball player is 6.86 m/s.

The acceleration of the player is calculated by applying Newton's second law of motion.

ma = μmg

a = μg

where;

.

a = 0.5 x 9.8 m/s²

a = 4.9 m/s²

The initial velocity of the player is calculated as follows;

v = u - at

where;

0 = u - at

u = at

u = 4.9 m/s²  x  1.4 s

u = 6.86 m/s

Learn more about initial velocity here: https://brainly.com/question/19365526

#SPJ1

Answer:

it is very hard but i am trying to help you.

Explanation:

Answer:

A. Quarter or less of the entire moon

Explanation:

This is because as the Moon revolves around the Earth, the light of the sun that is falling on the moon gets blocked by the Earth when we see the crescent moon.

That's why we only see the quarter or less of the entire moon shining on crescent moon night.

The work that has been done by the Korbel is  4.41kJ.

We have to note that we define work in physics as the product of the force and the distance. In the case of the chair in the question, we have been told that Korbel pushes a 15 kg chair for a distance of 30 meters.

The force in this case would be the weight of the chair that we have and we can write that;

W = mgh

m = mass

g = acceleration due to gravity

h = height

Thus

W = 15 * 9.8 * 30

W = 4.41kJ

Thus a work of about  4.41kJ is done.

Learn more about work done:https://brainly.com/question/13662169

#SPJ1

In Julio's experiment, the control would be the balloon that was not rubbed with a cloth (option b).

The control is an essential part of an experiment, as it serves as a basis for comparison and helps to determine the cause of observed changes. In this case, the control balloon helps to isolate the effect of rubbing the cloth on the other balloon.

When Julio rubs a balloon with a cloth, he is creating a buildup of static electricity, which can cause the balloon to attract objects, such as his hair. By using a second balloon without rubbing it with a cloth, he can compare the effects of the static electricity generated in the first balloon to the behavior of the second balloon, which has not been subjected to the same treatment.

By comparing the two balloons, Julio can better understand the influence of rubbing the cloth on the balloon and the role of static electricity in this phenomenon. Without the control balloon, it would be more difficult to determine whether the observed effects are solely due to the rubbing of the cloth or other factors.

In conclusion, the control in Julio's experiment is the balloon that was not rubbed with a cloth. This control helps to isolate the effects of rubbing the cloth and demonstrates the role of static electricity in the experiment. The correct option is b.

For more about balloon:

https://brainly.com/question/27573512

#SPJ11

Final temperature = T

Lost 100 g at 90° = gained 600 g at 20°

Apply the formula:

100 x S x (90 - T ) = 600 x S x (T-20)

90 - T =[ 600 x S x (T-20) ]/ (100 x S)

90 - T = 6 (T-20 )

90 -T = 6T - 120

90 + 120 =6T+T

210 = 7T

210/7 = T

T = 30°

Final temperature = 30°

Rock will reach the ground with the velocity of 48.29m/s.

Velocity is defined as the vector expression of displacement an object or particle undergoes with respect to time. The standard unit of velocity for expressing velocity magnitude is meter per second (m/s) or centimeter per second (cm/s). It is a vector quantity because it has both magnitude and direction.

Velocity can be expressed by the formula:

Velocity= Displacement/ Time taken

v= d/t

In terms of acceleration and initial and final velocity, it is expressed as:

\(v^2= u^2+ 2as\) (We can use 'g' in place of 'a' in the presence of the gravity)

Where, v= final velocity

u= initial velocity

s= Displacement

a= Acceleration or g= Acceleration due to gravity which is expressed as 9.8\(m/s^2\)

For above given information,

u= 0m/s

a=g= 9.8\(m/s^2\)

Δs= ( Final displacement - Initial displacement)= (0-119)= -119m

\(v=\sqrt{0+2*9.8*-119} \\v= \sqrt{-2332.4}\)

\(v= -48.29m/s\)

When an object is in free fall, we assume its velocity to be negative due to the downward direction.

Thus, rock will reach the ground with the velocity of 48.29m/s.

Learn more about Velocity, here:

https://brainly.com/question/18084516

#SPJ2

Answer:

1. Ultraviolet

Explanation:

This is called the Balmer series. Transitions ending in the ground state (n = 1) are called the Lyman series, but the energies released are so large that the spectral lines are all in the ultraviolet region of the spectrum.

It is possible for an excited hydrogen atom to return to the ground state by the emission of a single photon. Regardless of the initial excited state, this electron transition produces a spectral line in ultraviolet region of the electromagnetic spectrum. The correct option is 1.

An electromagnetic spectrum is the spectrum consisting of the colors of radiation of a white light with different wavelengths.

It is possible for an excited hydrogen atom to return to the ground state by the emission of a single photon.

The transitions which ends in the ground state (n = 1) are termed as Lyman series. Energy released is large in amount so that the spectral lines fall in the ultraviolet region of the spectrum.

Thus, regardless of the initial excited state, this electron transition produces a spectral line in ultraviolet region of the electromagnetic spectrum. The correct option is 1.

Learn more about electromagnetic spectrum.

https://brainly.com/question/23727978

#SPJ2

Answer:

C. pressure

because heat expands and so does explosions and gravity is just gravity.

The time required to cover the Moon to a depth of 1.20 meters with micrometeorites.

To find out how long it would take to cover the Moon to a depth of 1.20 meters with micrometeorites, we can calculate the volume of the Moon and then divide it by the volume of one micrometeorite. Let's break down the calculation step by step:

Calculate the volume of the Moon:

The average radius of the Moon is approximately 1.737 ×10⁶ meters. Using the formula for the volume of a sphere, V = (4÷3)πr³, we can calculate the volume of the Moon.

\(V_{moon}\) = (4÷3)π(1.737 × 10⁶)³

Calculate the volume of one micrometeorite:

The diameter of the micrometeorite is given as 1.30 ×10⁽⁻⁶⁾ meters, which means the radius is half of that.

\(r_{meteorite}\) = (1.30 × 10⁽⁻⁶⁾)÷2

Using the formula for the volume of a sphere, V = (4÷3)πr₃, we can calculate the volume of one micrometeorite.

\(V_{meteorite}\) = (4÷3)π((1.30 × 10⁽⁻⁶⁾)÷2)³

Calculate the number of micrometeorites needed to fill the Moon:

To find the number of micrometeorites required to fill the Moon, we divide the volume of the Moon by the volume of one micrometeorite.

\(N_{meteorites}\) = \(V_{moon}\) ÷ \(V_{meteorite}\)

Calculate the time to fill the Moon:

Since one micrometeorite strikes each square meter of the Moon each second, we can equate the number of micrometeorites needed to fill the Moon to the number of seconds it would take.

Time = \(N_{meteorites}\) ÷ (1 m²/s)

Convert seconds to years:

Finally, we convert the time in seconds to years by dividing by the number of seconds in a year (assuming 365.25 days in a year and 24 hours in a day).

\(Time_{years}\) = Time ÷ (365.25 days/year × 24 hours/day × 3600 seconds/hour)

Performing these calculations will give us the time required to cover the Moon to a depth of 1.20 meters with micrometeorites.

To know more about micrometeorites:

https://brainly.com/question/10979949

#SPJ4

Answer:

Actually, the sun goes a bit down, like it's not all the way up as to summer. How I know is that you actually can go online maybe search for some videos and see proof, I don't really know how to explain it.

Explanation:

Reason #1: If you check, go out for 12 hours and see, I think the sun is a little down.

Reason #2:

The earth’s axis is tilted.

From a Brainly user of this question for more info:

The Earth is NOT farther away from the sun in USA Winter, and NOT closer to the sun in USA Summer. In 2021, we will be NEAREST to the sun on January 2, and FARTHEST from the sun on July 5 !

NEAREST to the sun next Saturday.

FARTHEST from the sun next July 5.

The energy of the photon produced when an electron in a He* ion moves from the orbit with n = 5 to the orbit with n = 2 is approximately 7.65 x 10^(-19) joules.

According to the Bohr model of the atom, the energy of an electron in a particular orbit is given by the equation:

E = -13.6 * (Z^2 / n^2) eV

Where:

E is the energy of the electron in electron volts (eV),

Z is the atomic number of the nucleus (in this case, Z = 2 for helium),

n is the principal quantum number of the orbit.

To calculate the energy difference between two orbits, we can subtract the energy of the initial orbit from the energy of the final orbit:

ΔE = E_final - E_initial

For the initial orbit with n = 5, the energy can be calculated as:

E_initial = -13.6 * (2^2 / 5^2) eV

= -13.6 * (4 / 25) eV

= -13.6 * 0.16 eV

= -2.176 eV

For the final orbit with n = 2, the energy can be calculated as:

E_final = -13.6 * (2^2 / 2^2) eV

= -13.6 * (4 / 4) eV

= -13.6 eV

Now, we can calculate the energy difference:

ΔE = E_final - E_initial

= (-13.6 eV) - (-2.176 eV)

= -11.424 eV

To convert the energy difference to joules, we can use the conversion factor: 1 eV = 1.602 x 10^(-19) joules.

ΔE_joules = ΔE * (1.602 x 10^(-19) joules/eV)

= (-11.424 eV) * (1.602 x 10^(-19) joules/eV)

= -18.307 x 10^(-19) joules

Since energy cannot be negative, we take the absolute value of ΔE_joules:

|ΔE_joules| = 18.307 x 10^(-19) joules

Therefore, the energy in joules of the photon produced when an electron in a He* ion moves from the orbit with n = 5 to the orbit with n = 2 is approximately 7.65 x 10^(-19) joules.

The energy of the photon emitted when an electron in a He* ion transitions from the orbit with n = 5 to the orbit with n = 2 is approximately 7.65 x 10^(-19) joules.

To know more about photon, visit;

https://brainly.com/question/30858842

#SPJ11

The force required to accelerate the block is 28 N.

The acceleration of a cart with a mass of 25 kg and applied force of 50 N is 2 m/s².

The mass of a block of ice that is accelerated to 6 m/s2 by a force of 3 Newtons is 0.5kg.

A free body diagram is a sketch of forces acting on an object. It consists of the applied force, weight of the object, frictional force and normal reaction.

The force required to accelerate the block is calculated as follows;

F = ma

F = 3.5 kg x 8 m/s²

F = 28 N

The acceleration of a cart with a mass of 25 kg and applied force of 50 N is calculated as follows;

a = F/m

a = 50/25

a = 2 m/s²

The mass of a block of ice that is accelerated to 6 m/s2 by a force of 3 Newtons is calculated as follows;

m = F/a

m = 3 N / 6 m/s²

m = 0.5 kg

A free body diagram is a sketch of forces acting on an object. It consists of the applied force, weight of the object, frictional force and normal reaction.

Learn more about free body diagram here: https://brainly.com/question/21691401

#SPJ1

The mass of the object is equal to 0.2 Kg when it accelerates at 5.0 m/s².

Acceleration of an object can be defined as the rate at which the object changes its velocity w.r.t. time. The acceleration can be expressed as the second derivative of position w.r.t. time and is a vector parameter.

The force exerted on an object is equal to the multiplication of the mass (m) and acceleration (a) according to Newton's 2nd law of motion.

F = ma

And,  a = F/m

The mass and acceleration have an inverse relationship.

Given, the net force acting on an object, F = 1 N

The object is accelerating at a rate, a = 5.0 m/s²

The mass of the object can be determined by using the given information as follows:

m = F/a

m = 1/ 5.0

m = 0.2 Kg

Therefore, the mass of the object is equal to 0.2 Kg.

Learn more about acceleration, here:

brainly.com/question/3046924

#SPJ6